Approximating discrete valuation rings by regular local rings
Authors:
William Heinzer, Christel Rotthaus and Sylvia Wiegand
Journal:
Proc. Amer. Math. Soc. 129 (2001), 3743
MSC (1991):
Primary 13F30, 13H05; Secondary 13E05, 13G05, 13J05, 13J15
Published electronically:
July 27, 2000
MathSciNet review:
1694346
Fulltext PDF Free Access
Abstract 
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Abstract: Let be a field of characteristic zero and let be a discrete rankone valuation domain containing with . Assume that the fraction field of has finite transcendence degree over . For every positive integer , we prove that can be realized as a directed union of regular local subalgebras of of dimension .
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Additional Information
William Heinzer
Affiliation:
Department of Mathematics, Purdue University, West Lafayette, Indiana 479071395
Email:
heinzer@math.purdue.edu
Christel Rotthaus
Affiliation:
Department of Mathematics, Michigan State University, East Lansing, Michigan 488241027
Email:
rotthaus@math.msu.edu
Sylvia Wiegand
Affiliation:
Department of Mathematics and Statistics, University of Nebraska, Lincoln, Nebraska 685880323
Email:
swiegand@math.unl.edu
DOI:
http://dx.doi.org/10.1090/S0002993900054927
PII:
S 00029939(00)054927
Keywords:
Discrete rankone valuation domain,
\'{e}tale extension,
excellent ring,
Henselization,
local uniformization,
regular local domain
Received by editor(s):
July 23, 1998
Received by editor(s) in revised form:
March 22, 1999
Published electronically:
July 27, 2000
Additional Notes:
The authors thank the National Science Foundation and the National Security Agency for support for this research. In addition they are grateful for the hospitality and cooperation of Michigan State University, the University of Nebraska and Purdue University, where several work sessions on this research were conducted.
Communicated by:
Wolmer V. Vasconcelos
Article copyright:
© Copyright 2000 American Mathematical Society
